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212220112 = 24131760017
BaseRepresentation
bin11001010011000…
…11100011010000
3112210022220021011
430221203203100
5413312020422
633020340304
75154561346
oct1451434320
9483286234
10212220112
11a987a125
125b0a4694
1334c75540
1420283996
1513970077
hexca638d0

212220112 has 40 divisors (see below), whose sum is σ = 468860616. Its totient is φ = 92184576.

The previous prime is 212220097. The next prime is 212220119. The reversal of 212220112 is 211022212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59351616 + 152868496 = 7704^2 + 12364^2 .

It is a super-3 number, since 3×2122201123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 212220092 and 212220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26473 + ... + 33544.

Almost surely, 2212220112 is an apocalyptic number.

It is an amenable number.

212220112 is an abundant number, since it is smaller than the sum of its proper divisors (256640504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212220112 is a wasteful number, since it uses less digits than its factorization.

212220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60055 (or 60049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212220112 is about 14567.7764947160. The cubic root of 212220112 is about 596.4794874235.

Adding to 212220112 its reverse (211022212), we get a palindrome (423242324).

The spelling of 212220112 in words is "two hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 60017 120034 240068 480136 780221 960272 1020289 1560442 2040578 3120884 4081156 6241768 8162312 12483536 13263757 16324624 26527514 53055028 106110056 212220112